The basic idea was pioneered by G. C. Williams (1966,1982), Richard Lewontin (1970), Richard Dawkins (1976, 1982) and others. To recap, information theory provides a theoretical foundation for a science of heredity - a generalised genetics that unites the organic and cultural realms and acts as a foundation for universal Darwinism.

I'm pleased to see that the topic has seen recent activity. Gérard Battail wrote two recent books on the topic:

These recent contributions are encouraging. Critics have previously complained that proponents of applying information theory to biology lacked a systematic and rigorous approach to the topic (see references below for examples). This criticism was never very viable, but nonetheless, these recent contributions to informational genetics are welcome and encouraging.